3-5 Adding and Subtracting Like Fractions
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1 1. Find each sum or difference. Write in simplest form. Evaluate each expression if, and. 7. s t r t r s Mia is making a bookcase and has inches of wood. If she uses inches of wood for the top and bottom, find the amount of wood she has left for the sides. inches 11. Find the distance between and on a number line. Simplify if necessary. esolutions Manual - Powered by Cognero Page 1
2 Find each sum or difference. Write in simplest form esolutions Manual - Powered by Cognero Page 2
3 Evaluate each expression if x =, y =, and z =. 24. y z Find the distance between each pair of points. Simplify if necessary. 30. and 25. y x 31. and 26. x z 32. and 27. z x 28. Be Precise Nan was inches tall at the end of the summer. She was inches by March. How much did she grow during that time? inches 33. and 34. Find each sum or difference. Write in simplest form. 29. Yahto needs cups of sugar to make cookies. He needs an additional cup for bread. Find the total amount of sugar that Yahto needs. 35. c esolutions Manual - Powered by Cognero Page 3
4 36. A triathlon is a race with swimming, biking and running. If an athlete swims for minutes, bikes for minutes, and runs for minutes,what was his total time? or minutes 37. The table shows the weight of Leon s dog during its first 5 years. 40. Persevere with Problems Lopez Construction is replacing a window in a house. The window is currently 3 feet wide by 4 feet tall. The homeowner wants to add 9 inches to each side of the window. What is the new perimeter of the window in feet? Justify your reasoning. 17 feet 41. Find the Error Xavier said the sum of and is. Is he correct? Explain your reasoning. a. How much weight did Leon s dog gain or lose between ages 3 and 4? between years 1 and 5? b. If Leon s dog gains pounds each year between years 5 and 7, how much will his dog weigh? a. b. 38. A lasagne recipe uses teaspoons of basil, teaspoon of pepper, and 4 teaspoons of parsley. If you double the recipe, how many teaspoons of seasoning will you use? t 39. Use Math Tools Write a subtraction problem with a difference of. No; he did not add the fraction part of the mixed numbers correctly. 42. Use Math Tools Explain how you could use mental math to find the following sum. Then find the sum. Support your answer with a model. Sample answer: Group the fractions that have the same denominator. Each group of such fractions has a sum of 1. Add the whole numbers: = 21. Add the sum of the whole numbers and the sum of the fraction groups: = Building on the Essential Question Write a realworld problem about cooking that can be solved by adding or subtracting fractions. Then solve the problem. Sample answer: A recipe requires 2 cups cup of milk and cups of water. How much liquid is in the recipe?; Sample answer: esolutions Manual - Powered by Cognero Page 4
5 44. The average times it takes Miguel to cut his lawn and his neighbor s lawn are given in the table. 46. Ronata is putting lace around the tablecloth shown below. How much lace will she need to cover all 4 sides? Last summer, he cut his lawn 10 times and his neighbor s 6 times. How many hours did he spend cutting both lawns? A h B 14 h C h D 15 h D 45. A piece of wood is inches thick. A layer of padding inch thick is placed on top of the wood. What is the total thickness of the wood and the padding? F in. G in. A in. B 41 in. C 125 in. D 250 in. D 47. SHORT RESPONSE Simplify the expression below. 48. Find each quotient. Write in simplest form. H in. J in. 49. J 10 esolutions Manual - Powered by Cognero Page 5
6 Find each product. Write in simplest form. 54. A shelf inches wide is to be placed in a space that is space? Explain. Yes; < inches wide. Will the shelf fit in the 55. The Hawks started a play on their own 31-yard line. They lost 9 yards on one play and another 5 yards on the next play. Find the team s field location after the two plays. 17 yard line Find the least common multiple of each pair of numbers , , , , , , Evaluate each expression if a = 2, b = 5, and c = b c a b 5 0 esolutions Manual - Powered by Cognero Page 6
7 66. c b c a a b + c a + b c 11 esolutions Manual - Powered by Cognero Page 7
4-3 Add and Subtract Like Fractions. Add or subtract. Write in simplest form. SOLUTION: SOLUTION: SOLUTION: SOLUTION:
1. Add or subtract. Write in simplest form. 2. 3. 4. esolutions Manual - Powered by Cognero Page 1 5. 6. 7. In Mr. Navarro s first period class, of the students got an A on their math test. In his second
3-6 Adding and Subtracting Unlike Fractions
Find each sum. Write in simplest form. 1. 2. 3. esolutions Manual - Powered by Cognero Page 1 4. 5. 6. esolutions Manual - Powered by Cognero Page 2 Find each difference. Write in simplest form. 7. 8.
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1. Find the least common multiple (LCM) of the numbers 8, 10. A) 80 B) 2 C) 40 D) 1 E) 8
. Find the least common multiple (LCM) of the numbers 8, 0. A) 80 B) 2 C) 40 D) E) 8 2. Find the least common multiple (LCM) of the numbers 6, 4. A) 6 B) 2 C) 84 D) E) 42. Find the least common multiple
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